Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12
PLEASE SHOW WORK.
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Step-by-step explanation:
This is answer. I'm sri lankan. But our a/l exam have this mathematics questions
The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:
x + 3 = 0
x = -3
p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6
Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
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Related Questions
2 1/3 ×4 1/5
WHO EVER IS CORRECT I WILL GIVE BRAINIEST
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Answer:
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
Step-by-step explanation:
We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]
First converting mixed fractions into improper fractions
[tex]\frac{7}{3} \times \frac{21}{5}[/tex]
Since 21 is divisible by 3 so, simplifying and multiplying
[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
can someone help me answer question 7 and 8. ill give a braniest to whoever can get them both correct. tysm if you help me :)
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Step-by-step explanation:
7question.
it's the first answer y=x-10/3
8th question
it's also first answer y=x-9/2
¿Cuál es el resultado? de la siguiente ecuacion 5x+2=12 *
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Answer: X=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5x+2=12
5x= 12-2
5x= 10
x= 10/5
x=2
The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
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Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My
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Answer:4.4x+10
Step-by-step explanation:
Write the definition of "Absolute Value” in your own words.
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A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.
Answer:
a real number without regard to its sign.
Find the value of X
7/x-10 = 3/6
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Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
simplify!!
6x - 2+7x
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Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
Some body is there in room.
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What is the answer to this I need help ASAP lol thanks :)
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Answer:
you can count by groups of 9 and there would be 4 groups
9 + 9 + 9 +9 = 36 and 36/9 = 4
A shark was swimming 33ft below the surface of the water. It swam up 18ft to feed
on some fish, then dove down 5ft. Where is the shark now?
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33 -18 = 15
15 + 5 = 20
Answer: 20ft
HELP ASAP PLS AMD THANK YOU
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Can I try answering questions that are on your profiles
Please I need to earn points and brainliest
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Answer:
Ok
Step-by-step explanation:
Go for it
Write the slope intercept form of the equation of each line given the slope and y-intercept. PLEASE HURRY!!
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Answer:
y=3/2x-2
slope is 3/2 y-intercept is -2
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
3,4,4,6,8,9 work out the median
Answers
Answer: suckkkkkkkdbejehejjssjsj
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
just trust me
which of the following is the value of the expression 2x exponent2+1,when x =2
Answers
Answer:
9
Step-by-step explanation:
use pemdas to evaluate..
2x^2 + 1
2(2)^2 + 1
2(4) + 1
8 + 1 = 9
17,18,19,20,21,22,23,24. 1.From the list of numbers write down a number that is a factor of 20. 2. From the list of numbers in the list, which is a multiple of both 3 and 7
Answers
Problem 1
Answer: 20--------------------------
Explanation:
The factors of 20 are 1,2,4,5,10,20
They are numbers that pair up to multiply to 20. For instance, 5*4 = 20. We only focus on whole numbers.
In the list given to us, we see that only 20 is a factor of 20. Something like 17 is not a factor of 20, and so on for the other values.
==========================================
Problem 2
Answer: 21--------------------------
Explanation:
List out the multiples of 3 to get {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}
The stuff in bold are values found in the original list.
Now list out the multiples of 7 to get {7, 14, 21, 28, 35, 42, ...}
We can see that only 21 is found in both lists of multiples we wrote out.
Note how 3*7 = 21, which is not a coincidence.
find the solutions of the quadratic equation 3x^2-4x+4=0
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Answer:
2.3
Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry
BOATING Dedra's boat used 5 gallons of gasoline in 4 hours. At this rate, how many gallons of gasoline will the boat use in 10 hours?
Answers
The number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons
If Dedra's boat used 5 gallons of gasoline in 4 hours, this is expressed as:
5 gallons = 4 hours
In order to know the number of gallons needed in 10 hours, this is expressed as:
x = 10 hours
Divide both expressions:
5/x = 4/10
4x = 50
x = 50/4
x = 12.5 gallons
Hence the number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons
Learn more on rate here: https://brainly.com/question/24304697
EASY!!!!Example 5:
Why does the man fly out of the car?
Group of answer choices
Newton's 1st Law
Newton's 2nd Law
Newton's 3rd Law
Flag this Question
Question 145 pts
Give evidence or explain your reasoning for your answer to example #5:
Answers
Answer:Newton's First Law
Step-by-step explanation:
"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google
Sergio works at an ice cream shop and is paid by the hour. m = 11h, where h represents the number of hours worked, and m represents the amount of money Sergio was paid. How much did Sergio make in one hour?
Answers
Answer:
he made 11 dollars
Step-by-step explanation:
the number that is touching the h is how much he is making in a hour.
A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation p(t)=20,000(2)^t/10, where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is p(t)=20,000(2)^t-7/10. Which of the following is an equivalent form of the equation for the population of sample 2?
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Answer
p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think
Step-by-step explanation:
Explain the Error: Alan says that two lines in the coordinate plane are perpendicular if and
only if the slopes of the lines are m and 1/m. Identify and correct two errors in Alan’s statement.
Answers
Answer:
Check the step-by-step
Step-by-step explanation:
To get the perpendicular you need to find the negative reciprocal, therefore, he is wrong as he did not switch the negative/positive sign in m & 1/m. Also, if m is a fraction like 5/3, the reciprocal would not be 1/m, it would be 3/5 as you flip the denominator and numerator.
Write 1over32 as a power of 2
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Answer:
32= 2×2×2×2×2=2 power 5
Answer:
[tex]2^{-5}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Given
[tex]\frac{1}{32}[/tex]
= [tex]\frac{1}{2^{5} }[/tex]
= [tex]2^{-5}[/tex]
teresa purchased a prepaid phone card for $30. Long distance calls cost 7 cents a minute using this card. Teresa used her card only once to make a long distance call. if the remaining credit on her card is $28.32, how many minutes did her call last?
Answers
Answer:
24min
Step-by-step explanation:
30-28.32=1.68
1.68/0.07cents=24
(x-5) divided by (x^2+3x-40)
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Answer:
1/ x +8
*The 1 over x + 8
Answer:
[tex]\frac{1}{x+8}[/tex]
Step-by-step explanation:
Here is your original equation:
[tex]\frac{x-5}{x^{2} +3x-40}[/tex]What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):
[tex]x^{2} +3x-40[/tex]
Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.
Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)
We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.
[tex]x^{2} +3x-40 = (x+)(x-)[/tex]
Next, let's look at the factors of 40:
1 and 40 2 and 20 4 and 10 5 and 8
Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!
[tex]8-5=3[/tex]In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].
[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]Now let's go back to our original equation and substitute our old expression with the new one:
[tex]\frac{x-5}{(x+8)(x-5)}[/tex]Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].
[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]Therefore, your simplified answer is [tex]\frac{1}{x+8}[/tex] !
Here's the whole process:
[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]
To check your answer, confirm your expressions using the box method attached.
I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!
Please answer!!! Will mark brainiest!!
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Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
Will give brainliest if correct.
Answers
Answer:
x=(8,0)
y=(0,4)
Step-by-step explanation:
Answer:
x=(8,0)
y=(0,4)
Step-by-step explanation:
Hopes this helps
why is math so hard these days?
Answers
Answer:
It's because someone added LETTERS to math.
Step-by-step explanation:
I know this because I'm suffering from this.
A brainliest for this doggo is a bone! This doggo would appreciate a bone!
M: Mental
A: Abuse
T: To
H: Humans
Answer:
Advancement in human mathematics
Step-by-step explanation:
Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".
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Answer:
Step-by-step explanation:
E is just that Vertex/Angle.
[tex]sin[/tex] is a measure of an angle.
You should learn SOHCAHTOA
[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]
The opposite side is relative to the angle.
In this case, the opposite of E is 20
The hypotenuse is 29
so,
[tex]sin(E)= \frac{20}{29}[/tex]